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Differential forms on free and almost free divisors

By D. (David) Mond

Abstract

We introduce a variant of the usual Kähler forms on singular free divisors, and show that it enjoys the same depth properties as Kähler forms on isolated hypersurface singularities. Using these forms it is possible to describe analytically the vanishing cohomology, and the Gauss–Manin connection, in families of free divisors, in precise analogy with the classical description for the Milnor fibration of an isolated complete intersection singularity, due to Brieskorn and Greuel. This applies in particular to the family Formula of discriminants of a versal deformation Formula of a singularity of a mapping

Topics: QA
Publisher: Cambridge University Press
Year: 2000
OAI identifier: oai:wrap.warwick.ac.uk:825

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